Least Common Multiple of 9629 and 9635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9629 and 9635 the smallest integer that is 92775415 that is divisible by both numbers.

Least Common Multiple (LCM) of 9629 and 9635 is 92775415.

LCM(9629,9635) = 92775415

LCM of 9629 and 9635

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 9629 and 9635

LCM of 9629 and 9635 is 92775415

Least common multiple can be found by multiplying the highest exponent prime factors of 9629 and 9635. First we will calculate the prime factors of 9629 and 9635.

Prime Factorization of 9629


9629 9629
1

Prime factors of 9629 are 9629. Prime factorization of 9629 in exponential form is:

9629 = 96291

Prime Factorization of 9635


5 9635
41 1927
47 47
1

Prime factors of 9635 are 5, 41,47. Prime factorization of 9635 in exponential form is:

9635 = 51×411×471

Now multiplying the highest exponent prime factors to calculate the LCM of 9629 and 9635.

LCM(9629,9635) = 51×411×471×96291
LCM(9629,9635) = 92775415

Factors of 9629

List of positive integer factors of 9629 that divides 9629 without a remainder.

1, 9629

Factors of 9635

List of positive integer factors of 9635 that divides 9635 without a remainder.

1, 5, 41, 47, 205, 235, 1927, 9635

Least Common Multiple of 9629 and 9635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9629 and 9635, than apply into the LCM equation.

GCF(9629,9635) = 1
LCM(9629,9635) = ( 9629 × 9635) / 1
LCM(9629,9635) = 92775415 / 1
LCM(9629,9635) = 92775415

Properties of LCM 9629 and 9635

(i) The LCM of 9635 and 9629 is associative

LCM of 9629 and 9635 = LCM of 9635 and 9629

Related Least Common Multiples of 9629

Related Least Common Multiples of 9635

Frequently Asked Questions on LCM of 9629 and 9635

1. What is the LCM of 9629 and 9635?

Answer: LCM of 9629 and 9635 is 92775415.

2. What are the Factors of 9629?

Answer: Factors of 9629 are 1, 9629. There are 2 integers that are factors of 9629. The greatest factor of 9629 is 9629.

3. What are the Factors of 9635?

Answer: Factors of 9635 are 1, 5, 41, 47, 205, 235, 1927, 9635. There are 8 integers that are factors of 9635. The greatest factor of 9635 is 9635.

4. How to Find the LCM of 9629 and 9635?

Answer:

Least Common Multiple of 9629 and 9635 = 92775415

Step 1: Find the prime factorization of 9629

9629 = 9629

Step 2: Find the prime factorization of 9635

9635 = 5 x 41 x 47

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 92775415 = 5 x 41 x 47 x 9629

Step 4: Therefore, the least common multiple of 9629 and 9635 is 92775415.